42256608363648 has 640 divisors, whose sum is σ = 144802122030720. Its totient is φ = 11982622408704.

The previous prime is 42256608363569. The next prime is 42256608363659. The reversal of 42256608363648 is 84636380665224.

42256608363648 is a `hidden beast` number, since 4 + 2 + 2 + 566 + 0 + 8 + 3 + 6 + 3 + 64 + 8 = 666.

It is a super-2 number, since 2×42256608363648² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10374809740 + ... + 10374813812.

It is an arithmetic number, because the mean of its divisors is an integer number (226253315673).

Almost surely, 2^{42256608363648} is an apocalyptic number.

42256608363648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42256608363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72401061015360).

42256608363648 is an abundant number, since it is smaller than the sum of its proper divisors (102545513667072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42256608363648 is a wasteful number, since it uses less digits than its factorization.

42256608363648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 42256608363648 in words is "forty-two trillion, two hundred fifty-six billion, six hundred eight million, three hundred sixty-three thousand, six hundred forty-eight".